(1) Don't call at nine as we'll be having dinner.
(2) This time next week I'll be sitting on the beach.
(3) I'll be seeing Peter some time tomorrow.
(4) We'll be discussing the sales figures in the monthly meeting.

Actions and events in progress / incomplete at a specific time in the future

Future actions that continue over a period of time

The future continuous can emphasize that a future action will continue over a period of time:

We'll be working on the cover design next week.
This emphasizes that the work will continue over the week.In this course we'll be looking at some more advanced grammar points.
You will be looking at them during the whole of the course.

In both of these examples, be+going to or present continuous could be used. The future continuous shifts the emphasis to the continuation of the action over the time periods mentioned.

Future actions that will definitely happen at some time within a time period